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Finding the Fourth Proportional to 5,196.04, 7,797.49 and 1,909.17

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Solution

The fourth proportional to 5,196.04, 7,797.49 and 1,909.17 is: 2,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.04 : 7,797.49 = 1,909.17 : x
  2. Step 2: Convert to fraction form
    5,196.04/7,797.49 = 1,909.17/x
  3. Step 3: Cross multiply
    5,196.04x = 7,797.49 × 1,909.17
  4. Step 4: Simplify right side
    5,196.04x = 14,886,729.21
  5. Step 5: Solve for x
    x = 14,886,729.21/5,196.04
  6. Step 6: Final answer
    x = 2,865.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.